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This paper describes the adaptation of a well-scaling parallel algorithm for computing Morse-Smale segmentations based on path compression to a distributed computational setting. Additionally, we extend the algorithm to efficiently compute…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-09 Michael Will , Jonas Lukasczyk , Julien Tierny , Christoph Garth

We introduce a code generator that converts unoptimized C++ code operating on sparse data into vectorized and parallel CPU or GPU kernels. Our approach unrolls the computation into a massive expression graph, performs redundant expression…

Programming Languages · Computer Science 2022-03-15 Philipp Herholz , Xuan Tang , Teseo Schneider , Shoaib Kamil , Daniele Panozzo , Olga Sorkine-Hornung

We consider the massively parallel computation (MPC) model, which is a theoretical abstraction of large-scale parallel processing models such as MapReduce. In this model, assuming the widely believed 1-vs-2-cycles conjecture, solving many…

Data Structures and Algorithms · Computer Science 2023-10-31 Yi-Jun Chang , Da Wei Zheng

Spectral graph sparsification aims to find ultra-sparse subgraphs whose Laplacian matrix can well approximate the original Laplacian eigenvalues and eigenvectors. In recent years, spectral sparsification techniques have been extensively…

Data Structures and Algorithms · Computer Science 2020-04-30 Zhuo Feng

Matrix factorization (MF) can extract the low-rank features and integrate the information of the data manifold distribution from high-dimensional data, which can consider the nonlinear neighbourhood information. Thus, MF has drawn wide…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-24 Zixuan Li , Hao Li , Kenli Li , Fan Wu , Lydia Chen , Keqin Li

We present a work-efficient parallel level-synchronous Breadth First Search (BFS) algorithm for shared-memory architectures which achieves the theoretical lower bound on parallel running time. The optimality holds regardless of the shape of…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-20 Jesmin Jahan Tithi , Yonatan Fogel , Rezaul Chowdhury

Processing graphs with temporal information (the temporal graphs) has become increasingly important in the real world. In this paper, we study efficient solutions to temporal graph applications using new algorithms for Incremental Minimum…

Data Structures and Algorithms · Computer Science 2025-05-13 Xiangyun Ding , Yan Gu , Yihan Sun

Simultaneous Embedding with Fixed Edges (SEFE) is a problem where given $k$ planar graphs we ask whether they can be simultaneously embedded so that the embedding of each graph is planar and common edges are drawn the same. Problems of SEFE…

Discrete Mathematics · Computer Science 2017-12-04 Matěj Konečný , Stanislav Kučera , Jana Novotná , Jakub Pekárek , Martin Smolík , Jakub Tětek , Martin Töpfer

When using graph transformation rules to implement graph algorithms, a challenge is to match the efficiency of programs in conventional languages. To help overcome that challenge, the graph programming language GP 2 features rooted rules…

Programming Languages · Computer Science 2020-12-07 Brian Courtehoute , Detlef Plump

Two approaches for graph based semi-supervised learning are proposed. The firstapproach is based on iteration of an affine map. A key element of the affine map iteration is sparsematrix-vector multiplication, which has several very…

Machine Learning · Computer Science 2015-09-07 Konstantin Avrachenkov , Vivek Borkar , Krishnakant Saboo

Several algorithmic meta-theorems on kernelization have appeared in the last years, starting with the result of Bodlaender et al. [FOCS 2009] on graphs of bounded genus, then generalized by Fomin et al. [SODA 2010] to graphs excluding a…

Data Structures and Algorithms · Computer Science 2014-11-21 Valentin Garnero , Christophe Paul , Ignasi Sau , Dimitrios M. Thilikos

The forest-of-octrees approach to parallel adaptive mesh refinement and coarsening (AMR) has recently been demonstrated in the context of a number of large-scale PDE-based applications. Although linear octrees, which store only leaf…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-05 Tobin Isaac , Carsten Burstedde , Lucas C. Wilcox , Omar Ghattas

Subgraph counting aims to count the occurrences of a subgraph template T in a given network G. The basic problem of computing structural properties such as counting triangles and other subgraphs has found applications in diverse domains.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-12 Langshi Chen , Jiayu Li , Ariful Azad , Lei Jiang , Madhav Marathe , Anil Vullikanti , Andrey Nikolaev , Egor Smirnov , Ruslan Israfilov , Judy Qiu

In this paper, a novel framework of sparse kernel learning for Support Vector Data Description (SVDD) based anomaly detection is presented. In this work, optimal sparse feature selection for anomaly detection is first modeled as a Mixed…

Machine Learning · Computer Science 2015-06-09 Zhimin Peng , Prudhvi Gurram , Heesung Kwon , Wotao Yin

In this paper we consider the problem of computing an mRNA sequence of maximal similarity for a given mRNA of secondary structure constraints, introduced by Backofen et al. in [BNS02] denoted as the MRSO problem. The problem is known to be…

Data Structures and Algorithms · Computer Science 2007-05-23 Frank Gurski

We propose and analyze a novel framework for learning sparse representations, based on two statistical techniques: kernel smoothing and marginal regression. The proposed approach provides a flexible framework for incorporating feature…

Machine Learning · Statistics 2012-10-04 Krishnakumar Balasubramanian , Kai Yu , Guy Lebanon

We parallelize several previously proposed algorithms for the minimum routing cost spanning tree problem and some related problems.

Data Structures and Algorithms · Computer Science 2007-07-04 Ching-Lueh Chang , Yuh-Dauh Lyuu

In this article, we study the Euclidean minimum spanning tree problem in an imprecise setup. The problem is known as the \emph{Minimum Spanning Tree Problem with Neighborhoods} in the literature. We study the problem where the neighborhoods…

Computational Geometry · Computer Science 2021-04-12 Sanjana Dey , Ramesh K. Jallu , Subhas C. Nandy

A general framework of least squares support vector machine with low rank kernels, referred to as LR-LSSVM, is introduced in this paper. The special structure of low rank kernels with a controlled model size brings sparsity as well as…

Machine Learning · Computer Science 2019-10-22 Di Xu , Manjing Fang , Xia Hong , Junbin Gao

Data-intensive, graph-based computations are pervasive in several scientific applications, and are known to to be quite challenging to implement on distributed memory systems. In this work, we explore the design space of parallel algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-10-17 Aydin Buluc , Kamesh Madduri